Some properties of direct products

DOI10.1016/0021-8693(88)90263-3zbMath0647.20024OpenAlexW1985785692MaRDI QIDQ1104414

Ron Hirshon

Publication date: 1988

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90263-3

zbMATH Keywords

cancellationfinitely generateddirect decomposabilitydirectly indecomposable groupscancellable in direct productsJ-replaceabilityproduct of infinitely many subgroupsresidually soluble

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (1)

On uniqueness of direct decompositions of groups into directly indecomposable factors

Cites Work

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• Finitely generated groups L with \(L\approx L\times M\), \(M\neq 1\), M finitely presented
• Direct decompositions of finitely generated torsion-free nilpotent groups
• Cancellation and Hopficity in direct products
• Cancellation in Direct Sums of Groups
• The Frattini Subgroups of Finitely Generated Groups
• A property of finitely generated residually finite groups
• The Equivalence of × t C ≈× t D and J × C ≈J × D
• Non-Hopfian Groups
• Direct products and the Hopf property
• On Cancellation in Groups
• Some Remarks on Infinite Groups

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